Publication Cover
Applicable Analysis
An International Journal
Volume 72, 1999 - Issue 3-4
21
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Analytic fourier hyperfunctions

Pages 327-337 | Received 01 Jul 1998, Published online: 02 May 2007

References

  • Brichkov , Yu. and Shirokov , A. 1970 . On the asymptotic behaviour of the Fourier transform . Theoret. Mat Fiz , 4 ( 3 ) : 301 – 309 . (In Russian)
  • Estrada , R. and Kanwal , R. P. 1993 . Taylor expansions for distributions . Math, Methods AppL Sci , 16 ( 3 ) : 297 – 304 .
  • Estrada , R. and Kanwal , R.P. 1994 . Asymptotic Analysis: A distributional Aproach , Basel : Birkhäser .
  • Kaneko , A. 1972 . Representation of hyperfunctions by measures and some of its applications . J. Fac. Sci. Univ. Tokyo Sec. 1A , 19 ( 3 ) : 321 – 352 .
  • Kaneko , A. 1988 . Introduction to Hyperfunctions , Dordrecht : Kluwer Academic Publishers .
  • Kim , K.W. , Chung , S.Y. and Kim , D. 1993 . Fourier Hyperfunctions as the Boundary Values of Smooth Solutions of Heat Equations . Publ. RIMS, Kyoto Univ , 29 : 287 – 300 .
  • Morimoto , M. 1971 . Un théreme de Fanalyeité des hyperfunctions invariantes par la transformations de Lorentz . Proc. Japan Acad , 47 : 534 – 536 .
  • Marimoto , M. and Yoshino , K. 1978 . A uniqueness theorem for holomorphic func tions of exponential type . Hokkaido Math. Journal , VII ( 2 ) : 259 – 270 .
  • Pilipović S. Stanković B. The structure of a convergent family of Fourier hyperfunctions Integral Transforms and Special Functions (to appear)
  • Sato , M. 1958 . Theory of hyperfunctions . Sugaku , 10 ( 2 ) : 1 – 27 . (in Japanese)
  • Sato , M. 1959 . Theory of hyperfunctions . J. Fac. Set. Univ. Tokyo, Sec. I , 8 ( 2 ) : 139 – 193 .
  • Schwartz , L. 1966 . Theorie des distributions , Paris : Hermann . T. II
  • Stanković , B. 1988 . S-asymptotic expansion of distributions . Internat. J. Math. and Math. Sci , 11 ( 3 ) : 449 – 456 .
  • Stanković , B. 1955 . Analytic Ultradistributions . Proc. Amer. Math. Soc. V , 123 ( 11 ) : 3365 – 3369 .
  • Stanković , B. 1996 . Taylor expansion for generalized functions . J. Math. Anal. Appl , 203 ( 11 ) : 31 – 37 .
  • Stanković , B. 1997 . Asymptotic Taylor expansion for Fourier hyperfunctions . Proc. R. Soc. London , A 453 ( 11 ) : 913 – 918 .
  • Zharinov , V.V. 1977 . Laplace transform of Fourier hyperfunctions and other close class of analytical functionals . Teoret. Math. Fix , 33 ( 11 ) : 291 – 308 . (In Russian)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.